Optimum design of the air core multilayer tapped reactor

Abstract

In this study, an algorithm which optimizes the multilayer tapped reactor has been introduced. The model used in the tapped reactor is based on the principle of equalization of the voltage values of each reactor coil connected in parallel with the Kirchhoff voltage law. The algorithm redesigns the reactor, inner diameter of the reactor for each different inner diameter value between a specified minimum value and a maximum value (increasing by 1 cm). For each inner diameter value between the smallest and the largest value previously determined, the algorithm calculates three values; Active power loss of the tapped reactor, the weight of the tapped reactor, and the height of the tapped reactor. These three different indexes are calculated (in the form of three columns of the matrix). When the calculation ends for all the specified inner diameter values, three different curves are generated depending on each column (vertical axis) and inner diameter (horizontal axis) value of the matrix. The smallest points of the first two (reactor active power loss and reactor weight) curve show the optimum reactor production values sought. If the producer thinks to produce according to one of two different purposes, he chooses the optimum value for it. The magnetic field (self and common inductance) calculations of the tapped reactor are built on Lorenz, Maxwell equations and elliptic integrals of the third order are used.